What is the Greatest Common Factor of 33465 and 33480?

Greatest common factor (GCF) of 33465 and 33480 is 15.

GCF(33465,33480) = 15

We will now calculate the prime factors of 33465 and 33480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33465 and 33480.

How to find the GCF of 33465 and 33480?

We will first find the prime factorization of 33465 and 33480. After we will calculate the factors of 33465 and 33480 and find the biggest common factor number .

Step-1: Prime Factorization of 33465

Prime factors of 33465 are 3, 5, 23, 97. Prime factorization of 33465 in exponential form is:

33465 = 3¹ × 5¹ × 23¹ × 97¹

Step-2: Prime Factorization of 33480

Prime factors of 33480 are 2, 3, 5, 31. Prime factorization of 33480 in exponential form is:

33480 = 2³ × 3³ × 5¹ × 31¹

Step-3: Factors of 33465

List of positive integer factors of 33465 that divides 33465 without a remainder.

1, 3, 5, 15, 23, 69, 97, 115, 291, 345, 485, 1455, 2231, 6693, 11155

Step-4: Factors of 33480

List of positive integer factors of 33480 that divides 33465 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 31, 36, 40, 45, 54, 60, 62, 72, 90, 93, 108, 120, 124, 135, 155, 180, 186, 216, 248, 270, 279, 310, 360, 372, 465, 540, 558, 620, 744, 837, 930, 1080, 1116, 1240, 1395, 1674, 1860, 2232, 2790, 3348, 3720, 4185, 5580, 6696, 8370, 11160, 16740

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33465 and 33480. The biggest common factor number is the GCF number.
So the greatest common factor 33465 and 33480 is 15.

Also check out the Least Common Multiple of 33465 and 33480